PQR is an isosceles triangle in which pc=pr m and n are points on PQ and PR such that angle MQR =angle NQR Prove that triangle QNR and RMQ are congruent

Answers

Answer 1

Answer:

We are given that triangle PQR is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are equal,

angle PQR = angle PRQ  

Also, And we are given that

angle MRQ = angle NQR

In ΔQNR and  ΔRMQ

∠NQR=∠MRQ (given)

QR = QR   (common)

-triangles QNR is congruent to triangles RMQ - ASA - angle side angle


Related Questions

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

If u want to find nathan’s Age then 4f equals to Nathan

If u want to find fred’s age then nathan’s Age plus 27

Hope this helps

Find the mean, median, and mode of the data. 67, 59, 34, 71, 59

Answers

Answer:

Mean: 58

Median: 59

Mode: 59

Step-by-step explanation:

34, 59, 59, 67, 71

Mean: 34 + 59 + 59 + 67 + 71 = 290/5 = 58

Median: 59

Mode: 59

Answer:

mean 58

median 59

mode 59

Step-by-step explanation:

67, 59, 34, 71, 59

The mean is the sum divided by the number of numbers

(67+ 59+ 34+ 71+ 59)/ 5 = 290/5 = 58

The median is the middle number  when the numbers are written from smallest to largest

34,   59, 59, 64, 71

The middle number is 59

The median is 59

The mode is the number that appears most often

The number 59 appears twice

59 is the mode

Which graph represents a function with direct variation? ( Please Help ASAP)

Answers

Answer:

second graph

Step-by-step explanation:

direct variation is recognized as y=mx+b, where b=0

y=0 when x=0

the function has (0,0) point

it appears in the second graph only, so the answer is the second graph

Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!

Answers

Answer:

The answer is 7 meters

Step-by-step explanation:

Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)

Can someone please help me I need to get this right

Answers

Answer:

Option C

Step-by-step explanation:

Option C would map (1,3) to (-1,4).

[tex](x,y)\rightarrow(x-2,y+1)[/tex]

[tex](1,3)\rightarrow(1-2,3+1)\rightarrow(-1,4)[/tex]

1 - 2 = -1

3 + 1 = 4

Option C should be the  correct answer.

Answer: 3rd option (x-2, y+1)

Step-by-step explanation:

1-2 = -1

3+1 = 4

a system of linear equations is given by the tables. one of the tables is represented by the equation y=-1/3x+7. The equation that represents the other equation is y= x + the solution of the system is ( , )

Answers

Answer:

1). Other line is, y = [tex]\frac{1}{3}x+5[/tex]

2). Solution of the system is (3, 6)

Step-by-step explanation:

From the table (1),

Let the equation of the line from the given table is,

y - y' = m(x - x')

Where m = slope of the line

(x', y') is a point lying on the line.

Choose two points from the table which lie on the line.

Let the points are (0, 5) and (3, 6)

Slope = m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                 = [tex]\frac{5-6}{0-3}[/tex]

                 = [tex]\frac{1}{3}[/tex]

Therefore, equation of the will be,

y - 5 = [tex]\frac{1}{3}(x-0)[/tex]

y = [tex]\frac{1}{3}x+5[/tex] -------(1)

Let the other line from the table (2) is,

y - y" = m'(x - x")

Two points taken from this table are (0, 7) and (3, 6)

m' = [tex]\frac{7-6}{0-3}[/tex]

    = [tex]-\frac{1}{3}[/tex]

Equation of the line will be,

y - 7 = [tex]-\frac{1}{3}(x-0)[/tex]

y = [tex]-\frac{1}{3}x+7[/tex] -------(2)

Therefore, equation of the other line will be, y = [tex]\frac{1}{3}x+5[/tex]

By adding equations (1) and (2),

y + y = [tex]-\frac{1}{3}x+\frac{1}{3}x+5+7[/tex]

2y = 12

y = 6

From equation (1),

6 = [tex]\frac{1}{3}x+5[/tex]

[tex]\frac{1}{3}x=7-6[/tex]

x = 3

Therefore, solution of the system is (3, 6).

Answer:

The first line is 1/3x and 5. For the second line the answer is (3,6).

What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2

Answers

Answer:

16 + 6pi

Step-by-step explanation:

We have a square and 3 semicircles

The area of the square is

A = s^2 and the side length is 4

A = 4^2 = 16

The radius of the semi circle is 2

The area of a semicircle is

1/2 pi r^2

1/2 pi (2)^2 = 2pi

We have 3 of them

3 *2pi = 6pi

Add the areas together

16 + 6pi

Answer:

(6π + 16) cm²

Step-by-step explanation:

The composite shape can be cut into 4 shapes.

3 equal semi-circles and 1 square.

The square has a side length of 2 + 2 = 4cm.

The radius of the semi-circle is 2 cm.

The area of the square is:

4 × 4 = 16 cm²

The area of the semi-circle is:

2²π × 1/2

= (2π) cm²

There are 3 equal semi-circles, so multiply the area by 3.

2π × 3 = (6π) cm²

Add the areas of the 4 shapes.

16 cm² + (6π) cm²

= (6π + 16) cm²

The total area of the composite shape is (6π + 16) cm².

The probability that your ticket will be chosen is 6%. There are 250 tickets in the drawing. How many tickets are yours?

Answers

Answer: 15

Step-by-step explanation:

6 percent of 250 is 15

15/250 = 6%.

Answer:

6% = 6/100 = 0.06

250 x 0.06 = 250 x 6 / 100

250 x 6 = 1500 / 100 = 15

15 tickets are mine

Hope this helps

Step-by-step explanation:

log base4 64=3 pls solve

Answers

Answer: 4^3 = 64

Step-by-step explanation:

Formula is [tex]a^c=b[/tex]

[tex]4^3=64[/tex]

Answer:

[tex]{4}^{3} = 64 \\ [/tex]

Step-by-step explanation:

[tex] log_{a}(c) = b \\ {a}^{b} = c[/tex]

Use the formula.

[tex] log_{4}(64) = 3[/tex]

[tex] {4}^{3} = 64[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

the table shows the age in years of employees in a compant

Answers

a

26<a<28

Step-by-step explanation:

The class interval of age in year is 2

so, 2 is the class interval

Plss help^^
This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?

Answers

Answer:

Yeo wsp

60g onions

40g carrots

1 tablespoon of oil

200 g tomatoes

.4 L vegetable stock

Step-by-step explanation:

You just divide everything by 3

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily

Answers

Answer:

Correct option: third one

f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily

Step-by-step explanation:

We can rewrite the equation using the model:

P = Po * (1 + r/n) ^ (nt)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the relation of the rate and the time (in our case, the rate is weekly and the time will be in days, so n = 7)

With P = f(x), Po = 86, r = 0.18 and t = x, we have:

f(x) = 86 * (1 + 0.18/7) ^ (7x)

f(x) = 86 * (1.02) ^ (7x)

So the daily rate of growth is approximately 2%

Correct option: third one

You earn $8.50 per hour at your summer job. Write and solve an inequality that represents the number of hours you need to work in order to buy a digital camera that costs $348.50

Answers

Answer:

8.50x [tex]\geq[/tex] 348.50

41 hours

Step-by-step explanation:

x= amount of hours

The second term of a geometric sequence is 17.5 and the third term is 122.5. What is the common ratio? What is the first term?​

Answers

Step-by-step explanation:

U2=ar

U2=17.5

U3=ar^2

U3=122.5

U3/U2=122.5/17.5

ar^2/ar=7

r=7

17.5=ar

17.5=7a

a=2.5

What is the range of the functuon f(x)=(x-4)(x-2)

Answers

Answer:

The range is [-1, ∞).

Step-by-step explanation:

The  points where the graph of this function cut the x axis are at x = 2 and x = 4 ,  it opens upwards and has a minimum  value.

It has a minimum value  when x = (2 + 4) / 2 = 3.

When x = 3,  f(x) =  (3 - 4)(3 - 2) = -1.

So the range is all real values of x >= -1, or [-1, ∞)

A store buys an item for $10. To earn a PROFIT of $25, what percent does 13 po
the store need to mark up the item? (Hint: if the profit is $25, they must
sell it for more than that...) *

Answers

Answer:

150%

Step-by-step explanation:

25-10= 15

15/10 = 1.5

1.5 = 150%

The area of a square is 350cm². Find the length of the diagonal.

Answers

Answer: 26.46cm

Step-by-step explanation:

The formula of a diagonal of a square is square root 2 a(a is not under the square root though)

So just substitute the a (area) with 350 and solve the equation.

Answer:

26.46cm

Step-by-step explanation:

Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.

Cameron surveyed 200 of the students in his school about their favorite color. 60
students said their favorite color was red. What percentage of the surveyed students
said their favorite color was red?

Answers

60/300 is the same as 30/100 so it is 30%

Answer:30%

Step-by-step explanation:

Which is a complete list of factors of each term in the expression 15 + 20 x?

Answers

Answer:

15: 1, 3, 5, 15

20x: 1, 2, 4, 5, 10, 20, x

Step-by-step explanation:

can anyone help me
plzzzzzzzzzzzzzzzzzzz​

Answers

Answer:

1. B

2. A

3. A

4. C

Step-by-step explanation:

ask specific questions for explanations of the answers

Pat's Potato farm grew 490 ponds of potatoes. Pat delivered 3/7 of the potatoes to the vegi stand. The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store,witched packedged half of the potatoes that were delivered into 5 pound bags. How many 5 pound bags did the grocery store package?

Answers

Answer:

Step-by-step explanation:

Pat's Potato farm grew 490 pounds of potatoes. If Pat delivered 3/7 of the potatoes to the vegi stand, it means that the number of pounds of potatoes that pat delivered to the vergi store is

3/7 × 490 = 210 pounds

The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store. It means that the amount delivered to the grocery store is

2/3 × 210 = 140

If half of the delivered potatoes was packaged in bags of 5 pounds each, it means that the amount of potatoes packaged in the bags is 140/2 = 70 pounds.

The number of bags of 5 pounds that the grocery store packaged is

70/5 = 14 bags

A shelf has 4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants. You randomly choose a pair of pants from the shelf. What is the probability of choosing a blue pair of pants?

Answers

Answer:

2/5

Step-by-step explanation:

4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants = 10 pairs of pants

P( blue) = blue pants / total pants

             = 4/10

             =2/5

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!

Answers

The answer is the system A.
No the correct answer is D

1. The budget above was created by Alex to help him plan how he will spend the money she earns. He usually earns
$20 each week by babysitting and running errands for his parents. If Alex is sick one weekend and can't earn the
$20. how much will he earn for that 4-week period (assume there are 4 weekends in the month)?​

Answers

Answer:

Alex will be able to earn $60 for that 4-week period.

Step-by-step explanation:

It is given that

Income to Alex each week by babysitting and running errands:

$20.

To find the 4-week period earning, we need to add the value $20 for 4 times:

20 + 20 + 20 + 20 = $80

OR

In other words, 4 week period earning = 4 [tex]\times[/tex] 20 = $80

But, Alex was sick at one of the weekends, so $20 would be earned less.

Hence, during that 4-week period, total earning = $80 - $20

[tex]\Rightarrow[/tex] $60

So, Alex will be able to earn $60 for that 4-week period.

The probability that a foot ball team will win a game is 2/11.The probability that they will lose is 3/11.What is the probability the game will be a draw

Answers

Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

8.
How is the graph of y = 4(2)* - - 3 translated from the graph of y = 4(2)*?
3 units right
3 units down
3 units left
3 units up

Answers

Answer: 3 units up

Step-by-step explanation:

Yephfufudxurzyrzggsgeitxutzufzig

If a number is increased by 28 and then divided by 5​, the result is 7.
The algebraic equation is
x + 28 divided by 5 =7.
what is x

Answers

x+28 / 5 = 7

Multiply both sides by 5:

x +28 = 35

Subtract 28 from both sides:

x = 7

Square OABC is drawn on a centimetre grid. O is(0,0) A is(3,0) B is(3,3) C is(0,3). Write down how many invariant points there are on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)

Answers

Answer:

1 point. O (0,0)

Step-by-step explanation:

Hi

Invariant points are those points who remain on the same location after a given transformation.

1.  Plotting OABC we have it below:

2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:

[tex]O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)[/tex]

Since the Scale factor is (2)

3. Check it out O'A'B'C' below

4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.

Answer:

The answer would be 2

Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Because in N(8)>2.N(5) there is 2 times N(5) in front of it. In the example N(g) means the numbers of students whose grade on the exam was g. so in this case N(8) means the numbers of students whose grade on the exam was 8 and N(5) means the numbers of students whose grade on the exam was 5. So when you turn this equation into words  it means The numbers of students whose grade was 8 is more than twice the number of students whose grade was 5.

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

m(x) = 2(x + 4)² - 8 ← is in vertex form

with vertex = (- 4, - 8 ) → A

The correct answer is m(x)=2(x+4)^2 - 8
The vertex is (-4,8)
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